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8361801463680 = 273257474412467
BaseRepresentation
bin111100110101110001000…
…1101001011011110000000
31002121101021022200001221200
41321223202031023132000
52043444432133314210
625441205241021200
71522056143501160
oct171534215133600
932541238601850
108361801463680
112734246a30955
12b306a6484800
1348868c463292
1420c9db60c5a0
15e779a0be0c0
hex79ae234b780

8361801463680 has 384 divisors, whose sum is σ = 33701371591680. Its totient is φ = 1870603186176.

The previous prime is 8361801463667. The next prime is 8361801463681. The reversal of 8361801463680 is 863641081638.

8361801463680 is a `hidden beast` number, since 8 + 3 + 61 + 80 + 146 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8361801463681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311194 + ... + 4101273.

It is an arithmetic number, because the mean of its divisors is an integer number (87763988520).

Almost surely, 28361801463680 is an apocalyptic number.

8361801463680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8361801463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16850685795840).

8361801463680 is an abundant number, since it is smaller than the sum of its proper divisors (25339570128000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8361801463680 is a wasteful number, since it uses less digits than its factorization.

8361801463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412546 (or 4412531 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 8361801463680 in words is "eight trillion, three hundred sixty-one billion, eight hundred one million, four hundred sixty-three thousand, six hundred eighty".